AP Physics C Test: Chapters 1 - 3

Which formula is dimensionally consistent with an expression yielding a value for velocity? (a is acceleration, x is distance, and t is time)

• v/t²

• vx²

• v²/t

• at

On planet Q the standard unit of volume is called the guppy. Space travelers from Earth have determined that one liter = 38.2 guppies. How many guppies are in 150 liters?

• 5,730 guppies

• 0.255 guppies

• 3.93 guppies

• 188 guppies

In mechanics, physicists use three basic quantities to derive additional quantities. Mass is one of the three quantities. What are the other two?

• length and force

• power and force

• length and time

• force and time

Which expression is dimensionally consistent with an expression that would yield a value for time^-1 (v is velocity, x is distance, and t is time)?

• v/x

• v²/x

• x/t

• v²t

A furlong is a distance of 220 yards. A fortnight is a time period of two weeks. A race horse is running at a speed of 5.00 yards per second. What is his speed in furlongs per fortnight?

• 27,500 furlongs/fortnight

• 13,700 furlongs/fortnight

• 6,220 furlongs/fortnight

• 2,750 furlongs/fortnight

If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

• acceleration

• length

• time

• area

A cereal box has the dimensions of 0.19 m ´ 0.28 m ´ 0.070 m. If there are 3.28 feet per meter, then what is the volume of the box in cubic feet?

• 0.13 cubic feet

• 0.040 cubic feet

• 0.012 cubic feet

• 0.003 7 cubic feet

Calculate (0.82 + 0.042) ´ (4.4 ´ 10³), keeping only significant figures.

• 3,800

• 3,784

• 3,793

• 3,520

A high fountain of water is in the center of a circular pool of water. You walk the circumference of the pool and measure it to be 150 meters. You then stand at the edge of the pool and use a protractor to gauge the angle of elevation of the top of the fountain. It is 55°. How high is the fountain?

• 17 m

• 23 m

• 29 m

• 34 m

A rock is thrown straight down with an initial velocity of 14.5 m/s from a cliff. What is the rock’s displacement after 2.0 s? (Acceleration due to gravity is 9.80 m/s².)

• 28 m

• 49 m

• 55 m

• 64 m